This paper presents an investigation of the optimal placement of piezoelectric actuators for the active vibration control of smart structures.Base on the state space equation and the controllability Grammian matrix, a new optimal target is set by the energy efficiency of the input energy. A finite element analysis (FEA) is employed to analyze the configuration of piezoelectric actuators, and then the FEA is combined with the genetic algorithm (GA) for optimal computation. The placements of actuators are defined with binary coding. A piezoelectric plate is simulated to attest the new optimal method and prove its superiority as compared with several other optimal methods.
WANG Jun
,
YANG Yadong
,
ZHANG Jiaying
,
SU Hongbo
. Investigation of Piezoelectric Actuator Optimal Configuration for Structural Vibration Control[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012
, (3)
: 494
-500
.
DOI: CNKI:11-1929/V.20111221.1128.001
[1] Arbel A. Controllability measures and actuator placement in oscillatory systems. International Journal of Control, 1981, 33(3): 565-574.
[2] Bruant I,Gallimard L,Nikoukar S. Optimal piezoelectric actuator and sensor location for active vibration control, using genetic algorithm. Journal of Sound and Vibration, 2010, 329(10): 1615-1635.
[3] Bruant I,Proslier L. Optimal location of actuators and sensors in active vibration control. Journal of Intelligent Material Systems and Structures, 2005, 16(3): 197-206.
[4] Lu Y G, Wei Y D, Lu C Y, et al. Optimal configuration of sensors and actuators for vibration control of cantilever plate. Acta Armamentarii, 2006, 27(1):88-92. (in Chinese) 吕永桂, 魏燕定, 吕存养, 等.悬臂板振动控制传感器/致动器优化配置. 兵工学报, 2006, 27(1): 88-92.
[5] Jha A K, Inman D J. Optimal sizes and placements of piezoelectric actuators and sensors for an inflated torus. Journal of Intelligent Material Systems and Structures, 2003, 14(9): 563-576.
[6] Wang W Y, Wei Y J, Wang C, et al. Optimal investigation of sensor/actuator placement for piezoelectric smart structure. Journal of Astronautics, 2007, 28(4): 1025-1029. (in Chinese) 王威远, 魏英杰, 王聪, 等. 压电智能结构传感器/作动器位置优化研究. 宇航学报, 2007, 28(4): 1025-1029.
[7] Peng F J, Ng A, Hu Y R. Actuator placement optimization and adaptive vibration control of plate smart structures. Journal of Intelligent Material Systems and Structures, 2005, 16(3): 263-271.
[8] Han J H, Lee I. Optimal placement of piezoelectric sensors and actuators for vibration control of a composite plate using genetic algorithms. Smart Materials and Structures, 1999, 8(2): 257-267.
[9] Zhu D L, Yu J. Active vibration control of piezoelectric smart cantilever beam. Journal of Hehai University Changzhou, 2005, 19(4): 1-4. (in Chinese) 朱灯林, 俞洁. 压电智能悬臂梁的主动振动控制. 河海大学常州分校学报, 2005, 19(4): 1-4.
[10] Sun D C, Zhang H H, Wu H X, et al.Optimal placement and sizing of piezo actuators and experiment in vibration control of smart beams.Chinese Space Science and Technology, 1999(6):46-52. (in Chinese) 孙东昌, 张洪华, 吴宏鑫, 等. 压电智能梁振动控制中致动片优化布置与实验. 中国空间科学技术, 1999(6): 46-52.
[11] Qiu Z C, Zhang X M, Wu H X, et al. Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate. Journal of Sound and Vibration, 2007, 301(3-5): 521-543.
[12] Yang Y, Jin Z, Soh C K. Integrated optimal design of vibration control system for smart beams using genetic algorithms. Journal of Sound and Vibration, 2005, 282(3-5): 1293-1307.
[13] Hac A, Liu L. Sensor and actuator location in motion control of flexible structures. Journal of Sound and Vibration, 1993, 167(2): 239-261.
[14] Roy T, Chakraborty D. Optimal vibration control of smart fiber reinforced composite shell structures using improved genetic algorithm. Journal of Sound and Vibration, 2009, 319(1): 15-40.
[15] Liu W, Hou Z, Demetriou M A. A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial H2 measures. Mechanical Systems and Signal Processing, 2006, 20(4): 881-895.
[16] Yan T H, Mou Q C, Wang J Y. Optimal position and feedback gains of collocated sensor/PZT actuator. Journal of Vibration Engineering, 1999, 12(4): 570-576. (in Chinese) 严天宏, 牟全臣, 王建宇. 并置压电传感/作动器的最优配置及反馈增益研究. 振动工程学报, 1999, 12(4): 570-576.